Prove that for all acute angles .

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Prove that tan⁡θ  cot⁡(90∘−θ)+sin⁡2θ+cos⁡2θ=sec⁡2θ\tan \theta\; \cot(90^{\circ} - \theta) + \sin^{2}\theta + \cos^{2}\theta = \sec^{2}\theta for all acute angles θ\theta.

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